Finding the Third Proportional to 735.63 and 1,086.25

Step by Step Solution

1. Step 1: Write the proportion equation
   735.63 : 1,086.25 = 1,086.25 : x
2. Step 2: Convert to fraction form
   735.63/1,086.25 = 1,086.25/x
3. Step 3: Cross multiply
   735.63x = 1,086.25 × 1,086.25
4. Step 4: Simplify right side
   735.63x = 1,179,939.06
5. Step 5: Solve for x
   x = 1,179,939.06/735.63
6. Step 6: Final answer
   x = 1,604.00